9490723200 has 576 divisors, whose sum is σ = 39067142400. Its totient is φ = 2148986880.

The previous prime is 9490723183. The next prime is 9490723217. The reversal of 9490723200 is 23270949.

It is an interprime number because it is at equal distance from previous prime (9490723183) and next prime (9490723217).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36086269 + ... + 36086531.

It is an arithmetic number, because the mean of its divisors is an integer number (67824900).

Almost surely, 2^9490723200 is an apocalyptic number.

9490723200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9490723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19533571200).

9490723200 is an abundant number, since it is smaller than the sum of its proper divisors (29576419200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9490723200 is a wasteful number, since it uses less digits than its factorization.

9490723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9490723200 is about 97420.3428448083. The cubic root of 9490723200 is about 2117.2221836060. Note that the first 3 decimals are identical.

The spelling of 9490723200 in words is "nine billion, four hundred ninety million, seven hundred twenty-three thousand, two hundred".